Scala analysis: CD12_06_Iraq
Suite - Ensemble de Muhammad Al-Qubbbânjî (mukhalif, Iraq)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 149.557 cents 149.557083 2: 299.618 cents 299.617790 3: 403.300 cents 403.299948 4: 639.569 cents 639.569319 5: 754.176 cents 754.176344 6: 987.291 cents 987.290536 7: 1067.165 cents 1067.165481 8: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 132.8345 cents 132.8345 1: 149.5571 cents 149.5571 2: 150.0607 cents 150.0607 3: 103.6822 cents 103.6822 4: 236.2694 cents 236.2694 5: 114.6070 cents 114.6070 6: 233.1142 cents 233.1142 7: 79.8749 cents 79.8749 8: 132.8345 cents 132.8345
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 79.87494 cents 1: 1 103.68216 cents 1: 1 114.60702 cents 1: 1 132.83452 cents 1: 1 149.55708 cents 1: 1 150.06071 cents 1: 1 233.11419 cents 1: 1 236.26937 cents 2: 1 212.70946 cents 2: 1 253.74286 cents 2: 1 282.39160 cents 2: 1 299.61779 cents 2: 1 312.98914 cents 2: 1 339.95153 cents 2: 1 347.72122 cents 2: 1 350.87640 cents 3: 1 362.26655 cents 3: 1 403.29995 cents 3: 1 427.59616 cents 3: 1 432.45231 cents 3: 1 445.82366 cents 3: 1 454.55855 cents 3: 1 490.01224 cents 3: 1 583.99059 cents 4: 1 512.32725 cents 4: 1 536.13447 cents 4: 1 560.43068 cents 4: 1 595.38074 cents 4: 1 604.61926 cents 4: 1 639.56932 cents 4: 1 663.86553 cents 4: 1 687.67275 cents 5: 1 616.00941 cents 5: 1 709.98776 cents 5: 1 745.44145 cents 5: 1 754.17634 cents 5: 1 767.54769 cents 5: 1 772.40384 cents 5: 1 796.70005 cents 5: 1 837.73345 cents 6: 1 849.12360 cents 6: 1 852.27878 cents 6: 1 860.04847 cents 6: 1 887.01086 cents 6: 1 900.38221 cents 6: 1 917.60840 cents 6: 1 946.25714 cents 6: 1 987.29054 cents 7: 1 963.73063 cents 7: 1 966.88581 cents 7: 1 1049.93929 cents 7: 1 1050.44292 cents 7: 1 1067.16548 cents 7: 1 1085.39298 cents 7: 1 1096.31784 cents 7: 1 1120.12505 cents Highest number of different intervals for one interval class: 8 Average number of different intervals per interval class: 8.00000 = 8
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 0.0 : 149.6 299.6 403.3 639.6 754.2 987.3 1067.2 1200.0 149.6 : 150.1 253.7 490.0 604.6 837.7 917.6 1050.4 1200.0 299.6 : 103.7 340.0 454.6 687.7 767.5 900.4 1049.9 1200.0 403.3 : 236.3 350.9 584.0 663.9 796.7 946.3 1096.3 1200.0 639.6 : 114.6 347.7 427.6 560.4 710.0 860.0 963.7 1200.0 754.2 : 233.1 313.0 445.8 595.4 745.4 849.1 1085.4 1200.0 987.3 : 79.9 212.7 362.3 512.3 616.0 852.3 966.9 1200.0 1067.2: 132.8 282.4 432.5 536.1 772.4 887.0 1120.1 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 79.8749 .. 236.2694 cents 156.39443 cents 79.87494 cents 2: 212.7095 .. 350.8764 cents 138.16693 cents -23.55991 cents 3: 362.2665 .. 583.9906 cents 221.72404 cents 11.39015 cents 4: 512.3273 .. 687.6727 cents 175.34549 cents -71.66333 cents 5: 616.0094 .. 837.7335 cents 221.72404 cents -71.66333 cents 6: 849.1236 .. 987.2905 cents 138.16693 cents 11.39015 cents 7: 963.7306 .. 1120.1251 cents 156.39443 cents -23.55991 cents
SHOW DATA
Number of notes : 8 -- Interval properties -- Smallest interval : 79.87494 cents, class 1 Average step (divided formal octave): 150.0000 cents Largest one step interval : 236.26937 cents Average / Smallest step : 1.877936 Largest / Average step : 1.575129 Largest / Smallest step : 2.957991 Median interval of one step : 141.19580 cents, amount: 0 Least squares average step : 153.34193 cents, oct.: 1226.73542 cents Scale is not proper Step pattern alph. order: ABCDEFGH Step pattern size order : EFBHCGAD Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 11.39015 cents Scale diversity : 1.705597 Lumma stability : 0.152108 Lumma impropriety factor : 0.158705 Rothenberg efficiency : 0.250000 redundancy: 0.750000 Efficiency x scale size : 2.000000 Number of different interval sizes : 56 = 8.00000 / class Number of one step interval sizes : 8 Highest interval variety : 8 Mean interval variety : 8.00000 = 8 Median interval variety : 8 Lowest interval variety : 8 Smallest interval difference : 0.50362 cents Number of recognisable fifths : 2, average 698.8303 cents Number of appreciable fifths : 1, average 709.9878 cents Formal octave complements present : 1 = 12.5000% -- Rational properties --
FIT/MODE
8: 1 1 1 1 1 2 0 1 N T3 SD: 31.6061 c. M:-62.7095 c. 9: 1 1 1 2 1 1 1 1 P M ME SD: 29.8026 c. M: 53.9572 c. 10: 1 1 1 2 1 2 1 1 N D3 SD: 35.2598 c. M: 59.6178 c. 11: 1 2 1 2 1 2 1 1 P D3 SD: 23.4601 c. M: 40.4662 c. 15: 2 2 1 3 1 3 1 2 P D3 SD: 19.9572 c. M: 34.1763 c. 16: 2 2 1 3 2 3 1 2 N T3 SD: 18.8086 c. M: 39.5693 c. 17: 2 2 2 3 2 3 1 2 N SD: 13.0544 c. M:-22.2942 c. 21: 3 2 2 4 2 4 2 2 N SD: 13.8171 c. M:-21.8715 c. 24: 3 3 2 5 2 5 1 3 N SD: 8.6144 c. M: 17.1655 c. 32: 4 4 3 6 3 6 2 4 N SD: 8.3098 c. M: 17.1655 c. 33: 4 4 3 7 3 6 2 4 N SD: 8.7074 c. M:-14.9761 c. 34: 4 4 3 7 3 7 2 4 N SD: 10.3260 c. M: 17.2648 c. 35: 4 5 3 7 3 7 2 4 N SD: 7.9726 c. M: 12.4142 c. 39: 5 5 3 8 4 7 3 4 N SD: 7.6391 c. M:-15.0544 c. 41: 5 5 4 8 4 8 2 5 N SD: 7.1492 c. M: 13.5069 c. 45: 6 5 4 9 4 9 3 5 N SD: 5.2041 c. M:-10.4429 c. 51: 6 7 4 10 5 10 3 6 N SD: 5.1314 c. M: 8.3806 c. 56: 7 7 5 11 5 11 4 6 N SD: 2.8289 c. M:-4.2631 c. 72: 9 9 6 14 7 14 5 8 N SD: 3.2301 c. M: 6.2360 c. 80: 10 10 7 16 7 16 5 9 N SD: 2.7883 c. M:-5.4307 c. 81: 10 10 7 16 8 16 5 9 N SD: 2.7519 c. M:-5.3021 c. 89: 11 11 8 17 9 17 6 10 N SD: 2.7419 c. M: 5.8615 c. 96: 12 12 8 19 9 19 6 11 N SD: 2.6164 c. M: 4.6655 c. 103: 13 13 9 20 10 20 7 11 N SD: 3.0906 c. M:-4.6792 c. 105: 13 13 9 21 10 20 7 12 N SD: 2.6552 c. M: 4.4334 c. 107: 13 14 9 21 10 21 7 12 N SD: 2.1060 c. M: 3.7627 c. 111: 14 14 9 22 11 21 8 12 N SD: 2.6272 c. M: 3.5068 c. 113: 14 14 10 22 11 22 7 13 N SD: 2.2120 c. M: 5.2186 c. 119: 15 15 10 23 12 23 8 13 N SD: 2.1812 c. M: 4.2752 c. 124: 15 16 11 24 12 24 8 14 N SD: 2.1690 c. M: 4.3958 c. 128: 16 16 11 25 12 25 9 14 N SD: 2.0343 c. M: 4.1763 c. 129: 16 16 11 26 12 25 9 14 N SD: 1.9113 c. M: 3.2999 c. 135: 17 17 11 27 13 26 9 15 N SD: 1.6887 c. M: 3.2999 c. 137: 17 17 12 27 13 27 9 15 N SD: 1.2725 c. M:-2.4905 c. 145: 18 18 13 28 14 28 10 16 N SD: 1.6173 c. M: 2.4629 c. 152: 19 19 13 30 15 29 10 17 N SD: 1.4456 c. M:-3.7184 c. 169: 21 21 15 33 16 33 11 19 N SD: 1.1810 c. M: 2.0767 c. 191: 24 24 16 38 18 37 13 21 N SD: 1.1218 c. M:-1.9529 c. 199: 25 25 17 39 19 39 13 22 N SD: 1.0364 c. M:-1.8897 c. 208: 26 26 18 41 20 40 14 23 N SD: 0.7440 c. M:-1.5929 c. 255: 32 32 22 50 24 50 17 28 N SD: 1.0734 c. M:-1.5587 c. 259: 32 33 22 51 25 50 17 29 N SD: 0.9819 c. M:-1.5405 c. 264: 33 33 23 52 25 51 18 29 N SD: 0.8453 c. M:-1.3398 c. 272: 34 34 23 54 26 53 18 30 N SD: 0.7816 c. M: 1.8294 c. 280: 35 35 24 55 27 54 19 31 N SD: 0.7099 c. M: 1.5763 c. 289: 36 36 25 57 28 56 19 32 N SD: 0.7052 c. M:-1.5330 c. 304: 38 38 26 60 29 59 20 34 N SD: 0.6067 c. M: 1.3760 c. 315: 39 40 27 62 30 61 21 35 N SD: 0.6935 c. M:-1.3346 c. 328: 41 41 28 65 31 64 22 36 N SD: 0.6463 c. M:-1.1272 c. 345: 43 43 30 68 33 67 23 38 N SD: 0.4396 c. M:-0.6606 c. 417: 52 52 36 82 40 81 28 46 N SD: 0.3768 c. M: 0.7204 c. 441: 55 55 38 87 42 86 29 49 N SD: 0.3710 c. M: 0.5789 c. 497: 62 62 43 98 47 97 33 55 N SD: 0.3424 c. M: 0.8564 c. 625: 78 78 54 123 60 121 42 69 N SD: 0.2612 c. M: 0.4105 c. 649: 81 81 56 128 62 126 43 72 N SD: 0.1839 c. M: 0.2934 c. 705: 88 88 61 139 67 137 47 78 N SD: 0.1861 c. M:-0.4307 c. 1066: 133 133 92 210 102 207 71 118 N SD: 0.1503 c. M: 0.2981 c. 1077: 134 135 93 212 103 209 72 119 N SD: 0.1446 c. M: 0.2535 c. 1101: 137 138 95 217 105 214 73 122 N SD: 0.1442 c. M: 0.2383 c. 1122: 140 140 97 221 107 218 75 124 N SD: 0.1375 c. M:-0.2142 c. 1173: 146 147 101 231 112 228 78 130 N SD: 0.1649 c. M: 0.2309 c. 1246: 155 156 108 245 119 242 83 138 N SD: 0.1490 c. M: 0.2794 c. 1330: 166 166 115 262 127 258 89 147 N SD: 0.1465 c. M: 0.2229 c. 1354: 169 169 117 267 129 263 90 150 N SD: 0.1436 c. M:-0.3125 c. 1381: 172 173 119 272 132 268 92 153 N SD: 0.1117 c. M: 0.1797 c. 1518: 189 190 131 299 145 295 101 168 N SD: 0.0781 c. M: 0.1500 c. 1726: 215 216 149 340 165 335 115 191 N SD: 0.0756 c. M:-0.1690 c. 1863: 232 233 161 367 178 362 124 206 N SD: 0.1028 c. M:-0.1491 c. 1878: 234 235 162 370 179 365 125 208 N SD: 0.0881 c. M: 0.1827 c. 1895: 236 237 164 373 181 368 126 210 N SD: 0.0812 c. M: 0.1470 c. 2086: 260 261 180 411 199 405 139 231 N SD: 0.0773 c. M: 0.1381 c. 2143: 267 268 185 422 205 416 143 237 N SD: 0.0851 c. M: 0.1268 c. 2167: 270 271 187 427 207 421 144 240 N SD: 0.0713 c. M: 0.1620 c. 2223: 277 278 192 438 212 432 148 246 N SD: 0.0529 c. M:-0.1068 c.
FIT/HARMONIC
1 x x x x x x x 2 S SD: 0.0000 cents 2 x x x x 3 x x 4 S SD: 26.1107 cents 3 x x 4 x x 5 x 6 S SD: 46.6328 cents 4 x x 5 x 6:7 x 8 S SD: 14.4839 cents 5 x 6 x 7:8:9 x 10 S SD: 17.8574 cents 6 x 7:8 x 9 x 11:12 SD: 22.8849 cents 7 x 8:9:10:11:12:13:14 S SD: 14.2415 cents 8:9 x 10 x 12:14:15:16 S SD: 13.6993 cents 9:10:11 x 13:14:16:17:18 SD: 9.8064 cents 11:12:13:14:16:17:19:20:22 SD: 6.9804 cents 18:20:21:23:26:28:32:33:36 SD: 6.9747 cents 20:22:24:25:29:31:35:37:40 SD: 4.2641 cents 22:24:26:28:32:34:39:41:44 SD: 2.8549 cents 31:34:37:39:45:48:55:57:62 SD: 2.5488 cents 42:46:50:53:61:65:74:78:84 SD: 1.6788 cents 53:58:63:67:77:82:94:98:106 SD: 1.4365 cents 68:74:81:86:98:105:120:126:136 SD: 1.2425 cents 69:75:82:87:100:107:122:128:138 SD: 1.0865 cents 90:98:107:114:130:139:159:167:180 SD: 1.0073 cents 99:108:118:125:143:153:175:183:198 SD: 0.8179 cents 110:120:131:139:159:170:195:204:220 SD: 0.7434 cents 121:132:144:153:175:187:214:224:242 SD: 0.4731 cents 168:183:200:212:243:260:297:311:336 SD: 0.4551 cents 190:207:226:240:275:294:336:352:380 SD: 0.3169 cents 233:254:277:294:337:360:412:432:466 SD: 0.2804 cents 244:266:290:308:353:377:432:452:488 SD: 0.2572 cents 255:278:303:322:369:394:451:472:510 SD: 0.2442 cents 264:288:314:333:382:408:467:489:528 SD: 0.2391 cents 286:312:340:361:414:442:506:530:572 SD: 0.2151 cents 354:386:421:447:512:547:626:656:708 SD: 0.1971 cents 407:444:484:514:589:629:720:754:814 SD: 0.1959 cents 412:449:490:520:596:637:729:763:824 SD: 0.1533 cents 434:473:516:548:628:671:768:804:868 SD: 0.1429 cents 454:495:540:573:657:702:803:841:908 SD: 0.1128 cents 588:641:699:742:851:909:1040:1089:1176 SD: 0.1019 cents